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21150192 = 2437193313
BaseRepresentation
bin101000010101…
…1100111110000
31110210112121110
41100223213300
520403301232
62033153320
7344526240
oct120534760
943715543
1021150192
1110a364a8
1270bb840
1344c6b0b
142b47b20
151ccbacc
hex142b9f0

21150192 has 80 divisors (see below), whose sum is σ = 65749760. Its totient is φ = 5723136.

The previous prime is 21150191. The next prime is 21150203. The reversal of 21150192 is 29105112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4728 + ... + 8040.

It is an arithmetic number, because the mean of its divisors is an integer number (821872).

Almost surely, 221150192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21150192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32874880).

21150192 is an abundant number, since it is smaller than the sum of its proper divisors (44599568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21150192 is a wasteful number, since it uses less digits than its factorization.

21150192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 21150192 is about 4598.9337894777. The cubic root of 21150192 is about 276.5485833401.

It can be divided in two parts, 211 and 50192, that added together give a triangular number (50403 = T317).

The spelling of 21150192 in words is "twenty-one million, one hundred fifty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 3313 6384 6626 9939 13252 19878 23191 26504 39756 46382 53008 62947 69573 79512 92764 125894 139146 159024 185528 188841 251788 278292 371056 377682 440629 503576 556584 755364 881258 1007152 1113168 1321887 1510728 1762516 2643774 3021456 3525032 5287548 7050064 10575096 21150192